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Finding the Third Proportional to 101,259,570 and 220,917,597

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Solution

The third proportional to 101,259,570 and 220,917,597 is: 481,975,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,259,570 : 220,917,597 = 220,917,597 : x
  2. Step 2: Convert to fraction form
    101,259,570/220,917,597 = 220,917,597/x
  3. Step 3: Cross multiply
    101,259,570x = 220,917,597 × 220,917,597
  4. Step 4: Simplify right side
    101,259,570x = 48,804,584,664,254,408
  5. Step 5: Solve for x
    x = 48,804,584,664,254,408/101,259,570
  6. Step 6: Final answer
    x = 481,975,033.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.